On an Integral-Type Operator Acting between Bloch-Type Spaces on the Unit Ball by Stevo Stević, Sei-Ichiro Ueki

“…Here ℜf denotes the radial derivative of a holomorphic function f in 𝔹. …”
Get full text

On a subclass of α-convex λ-spiral functions by F. M. Al-Oboudi, M. M. Hidan

“…Let H denote the class of functions f(z)=z+∑k=2∞akzk which are analytic in the unit disc Δ={z:|z|<1}. …”
Get full text

A mechanism with positive feedback governing the transitions in super-low temperature physics studied via a two-species condensate with spin-1 atoms by Yanzhang He, Yimin Liu, Chengguang Bao

“…All the boundaries separating the regions have been analytically obtained. Let p- denote the phase of a species in which all the atoms are two by two in singlet-pairs, f- denote that all the spins are lying along a common direction (fully polarized), and q- denote a mixture of the above two phases, namely, some singlet-pairs together with a fully polarized subsystem. …”
Get full text

Outer measures associated with lattice measures and their application by Charles Traina

“…Consider a set X and a lattice ℒ of subsets of X such that ϕ, X∈ℒ. M(ℒ) denotes those bounded finitely additive measures on A(ℒ) which are studied, and I(ℒ) denotes those elements of M(ℒ) which are 0−1 valued. …”
Get full text

Factorization of k-quasihyponormal operators by S. C. Arora, J. K. Thukral

“…For an operator T, we write R(T) and N(T) to denote the range space and the null space of T.…”
Get full text

Computing Minimal Doubly Resolving Sets and the Strong Metric Dimension of the Layer Sun Graph and the Line Graph of the Layer Sun Graph by Jia-Bao Liu, Ali Zafari

“…The minimal doubly resolving set of vertices of graph G is a doubly resolving set with minimum cardinality and is denoted by ψG. In this paper, first, we construct a class of graphs of order 2n+Σr=1k−2nmr, denoted by LSGn,m,k, and call these graphs as the layer Sun graphs with parameters n, m, and k. …”
Get full text

Quantitative Impact of Monthly Precipitation on Urban Vegetation, Surface Water and Potential Evapotranspiration in Baghdad Under Wet and Dry Conditions by Jamal S. Abd Al Rukabie, Salwa S. Naif and Monim H. Al-Jiboori

“…This study investigated the quantitative effect of monthly precipitation on surface water area (denoted by the Modified Normalized Difference Water Index, MNDWI), vegetation area (denoted by Normalized Difference Vegetation Index, NDVI), and potential evapotranspiration (PET) during two years (2018 and 2021) in the city of Baghdad, Iraq. …”
Get full text

Computing the l,k-Clique Metric Dimension of Graphs via (Edge) Corona Products and Integer Linear Programming Model by Zeinab Shahmiri, Mostafa Tavakoli

“…For a pair of cliques X,Y, the resolving neighbourhood of X and Y, denoted by RGX,Y, is the collection of all vertices which resolve the pair X,Y. …”
Get full text

The Pre-Schwarzian Norm Estimate for Analytic Concave Functions by Young Jae Sim, Oh Sang Kwon

“…Let D denote the open unit disk and let S denote the class of normalized univalent functions which are analytic in D. …”
Get full text

Congruences involving generalized Frobenius partitions by James Sellers

“…The goal of this paper is to discuss congruences involving the function cϕm¯(n), which denotes the number of generalized Frobenius partitions of n with m colors whose order is m under cyclic permutation of the m colors.…”
Get full text

Lucas numbers of the form PX2, where P is prime by Neville Robbins

“…Let Ln denote the nth Lucas number, where n is a natural number. …”
Get full text

Recursive determination of the enumerator for sums of three squares by John A. Ewell

“…For each nonnegative integer n, r3(n) denotes the number of representations of n by sums of three squares. …”
Get full text

Electronic and optical properties of group V one-dimensional materials with a square columnar structure: A first-principles investigation by Pinbo Huang, Zhiang Liu, Ping Huang, Yi Luo

“…In this paper, we propose a series of novel one-dimensional group V semiconductors with a square columnar structure, denoted as SC-As, SC-Sb, and SC-Bi, derived from SC-P. …”
Get full text

Removal of Formaldehyde Using Highly Active Pt/TiO2 Catalysts without Irradiation by Haibao Huang, Huiling Huang, Peng Hu, Xinguo Ye, Dennis Y. C. Leung

“…The reduced Pt/TiO2 catalyst (denoted as Pt/TiO2-H2) showed much higher activity than that calcined in air (denoted as Pt/TiO2-air). …”
Get full text

MAIN DIRECTIONS AND PROSPECTS OF INFORMATIZATION OF A FOREIGN LANGUAGE EDUCATION by Pavel V. Sysoyev

“…This paper addresses the issue of informatization of foreign language education. The author a) denotes the conditions of informatization of a foreign language education, b) defines themain directions of informatization of language education, c) considers the prospects of development of these areas.…”
Get full text

Properties of ϕ-Primal Graded Ideals by Ameer Jaber

“…Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R. …”
Get full text

Genetic Variation of the DGAT1 gene in Dual-Purpose Dairy Cows and its Influence on Economically Important Breeding Traits by Mark E Armitage, Emma Swan, Denise O'Meara

“…ResultsThe three genotypes within the herd were: KK (n = 5), AA (n = 10), KA (n = 8). KK denoted a homologous Lysine allele, AA denoted a homologous Alanine allele, and KA denoted a heterologous Lysine allele. …”
Get full text

On the Nachbin compactification of products of totally ordered spaces by D. C. Kent, Dongmei Liu, T. A. Richmond

“…Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.…”
Get full text

Exceptional Sets for Sums of Prime Cubes in Short Interval by Gongrui Chen

“…Let EN,X denote the number of even integers n, with N−X≤n≤N, such that n cannot be written as n=p13+⋯+p83. …”
Get full text

On positive eigenfunctions of one nonlocal boundary problem by Sigita Pečiulytė, Artūras Štikonas

“…Obtained results we compare with results that are described in paper [1] and denote that in some cases they don’t coincide.   …”
Get full text